What is the area of the triangle enclosed by the lines y=0, x=8, and y=x ?

1 Answer
Mar 19, 2018

#"Area" = 32 " units"^2#

Explanation:

The following is the triangle drawn with the following lines:

#color(red)(y=0, 0 <= x <=8)#

#color(blue)(x = 8, 0<= y <= 8)#

#color(green)(y=x, 0<=x<=8)#

www.desmos.com/calculator

Please observe that the base is 8 units and the height is 8 units.

The equation for the area of a triangle is:

#"Area" = 1/2 "base" * "height"#

#"Area" = 1/2 8" units" * 8" units"#

#"Area" = 32 " units"^2#